LCM of 634, 262, 950, 570, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 262, 950, 570, 969 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 634, 262, 950, 570, 969. So, keep reading to learn more.
Given numbers are 634,262,950,570,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,262,950,570,969 is 2011983150.
Find LCM of 634,262,950,570,969 with Prime Factorization
| 2 | 634, 262, 950, 570, 969 |
| 3 | 317, 131, 475, 285, 969 |
| 5 | 317, 131, 475, 95, 323 |
| 19 | 317, 131, 19, 95, 323 |
| 317, 131, 1, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 317 x 131 x 1 x 5 x 17 = 2011983150
Therefore, the lowest common multiple of 634,262,950,570,969 is 2011983150.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
634 x 262 x 950 x 570 x 969 = 87159110058000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
634 : 1, 2, 317, 634
262 : 1, 2, 131, 262
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,262,950,570,969, is 1.
Now, the common factors can be found like this.
634:2x 317
262:2x 131
950:2x 5x 5x 19
570:2x 3x 5x 19
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5x 19x 19 = 43320
Therefore, the value for common factors is 43320.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 87159110058000/(1x43320)
LCM = 87159110058000/43320
LCM = 2011983150
Thus, we can understand that the LCM of 634,262,950,570,969 is 2011983150.
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FAQs on LCM of 634, 262, 950, 570, 969
1. What is the LCM of 634, 262, 950, 570, 969?
Answer: LCM of 634, 262, 950, 570, 969 is 2011983150.
2. How to calculate the LCM of 634, 262, 950, 570, 969?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 634, 262, 950, 570, 969.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.